The δ̅ -approach to the dispersionless KP hierarchy



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Konopelchenko, Boris and Martínez Alonso, Luis and Ragnisco, O. (2001) The δ̅ -approach to the dispersionless KP hierarchy. Journal of physics A: Mathematical and general, 34 (49). pp. 10209-10217. ISSN 0305-4470

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The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class of nonlinear first-order equations. A quasiclassical version of the partial derivative -dressing method is presented. It is shown that the algebraic formulation of dispersionless hierarchies can be expressed in terms of properties of Beltrami-type equations. The universal Whitham hierarchy and, in particular, the dispersionless KP hierarchy turn out to be rings of symmetries for the quasiclassical partial derivative -problem.

Item Type:Article
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©2001 IOP Publishing Ltd.
L Martínez Alonso is partially supported by CICYT proyecto PB98–0821.

Uncontrolled Keywords:Korteweg-devries equation; Integrable hierarchies; Limit; Models
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34451
Deposited On:24 Nov 2015 18:22
Last Modified:10 Dec 2018 15:10

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